General formalism of Hamiltonians for realizing a prescribed evolution of a qubit

Abstract

We investigate the inverse problem concerning the evolution of a qubit system, specifically we consider how one can establish the Hamiltonians that account for the evolution of a qubit along a prescribed path in the projected Hilbert space. For a given path, there are infinite Hamiltonians which can realize the same evolution. A general form of the Hamiltonians is constructed in which one may select the desired one for implementing a prescribed evolution. This scheme can be generalized to higher dimensional systems.

6 pages

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Cited by in corpus (2)

• Operator-sum representation of time-dependent density operators and its applications
• Geometric phases for mixed states and decoherence